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Finding the Fourth Proportional to 9,568.35, 13,203.81 and 5,376.60

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Solution

The fourth proportional to 9,568.35, 13,203.81 and 5,376.60 is: 7,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.35 : 13,203.81 = 5,376.60 : x
  2. Step 2: Convert to fraction form
    9,568.35/13,203.81 = 5,376.60/x
  3. Step 3: Cross multiply
    9,568.35x = 13,203.81 × 5,376.60
  4. Step 4: Simplify right side
    9,568.35x = 70,991,604.85
  5. Step 5: Solve for x
    x = 70,991,604.85/9,568.35
  6. Step 6: Final answer
    x = 7,419.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.